a) `1/(3-2\sqrt2) + \sqrt(17-12\sqrt2)`
`= (3+2\sqrt2)/(3^2-(2\sqrt2)^2) + \sqrt(3^2 - 12\sqrt2 + (2\sqrt2)^2`
`=3+2\sqrt2 + 3-2\sqrt2 = 6`
b) `1/(2-\sqrt3) + \sqrt(7-4\sqrt3)`
`= (2+\sqrt3)/(2^2-(\sqrt3)^2) + \sqrt(2^2-4\sqrt3+(\sqrt3)^2)`
`= 2+\sqrt3 + 2 -\sqrt3 = 4`